404456448 has 88 divisors (see below), whose sum is σ = 1176124320. Its totient is φ = 122552320.

The previous prime is 404456447. The next prime is 404456461. The reversal of 404456448 is 844654404.

It is a tau number, because it is divible by the number of its divisors (88).

It is not an unprimeable number, because it can be changed into a prime (404456441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27808 + ... + 39776.

Almost surely, 2^404456448 is an apocalyptic number.

404456448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404456448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588062160).

404456448 is an abundant number, since it is smaller than the sum of its proper divisors (771667872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

404456448 is a wasteful number, since it uses less digits than its factorization.

404456448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12003 (or 11985 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 39.

The square root of 404456448 is about 20111.1026052775. The cubic root of 404456448 is about 739.5324828779.

The spelling of 404456448 in words is "four hundred four million, four hundred fifty-six thousand, four hundred forty-eight".